ASVAB Math Knowledge Practice Test 3437 Results

Your Results Global Average
Questions 5 5
Correct 0 3.22
Score 0% 64%

Review

1

The dimensions of this cube are height (h) = 3, length (l) = 8, and width (w) = 2. What is the volume?

83% Answer Correctly
18
64
192
48

Solution

The volume of a cube is height x length x width:

v = h x l x w
v = 3 x 8 x 2
v = 48


2

What is 8a - 7a?

80% Answer Correctly
56a2
1a
15a2
15

Solution

To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.

8a - 7a = 1a


3

A trapezoid is a quadrilateral with one set of __________ sides.

71% Answer Correctly

parallel

equal length

right angle

equal angle


Solution

A trapezoid is a quadrilateral with one set of parallel sides.


4

Which of the following statements about parallel lines with a transversal is not correct?

36% Answer Correctly

same-side interior angles are complementary and equal each other

all acute angles equal each other

all of the angles formed by a transversal are called interior angles

angles in the same position on different parallel lines are called corresponding angles


Solution

Parallel lines are lines that share the same slope (steepness) and therefore never intersect. A transversal occurs when a set of parallel lines are crossed by another line. All of the angles formed by a transversal are called interior angles and angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°) and are called corresponding angles. Alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°) and all acute angles (a° = c° = w° = z°) and all obtuse angles (b° = d° = x° = y°) equal each other. Same-side interior angles are supplementary and add up to 180° (e.g. a° + d° = 180°, d° + c° = 180°).


5

The dimensions of this trapezoid are a = 6, b = 2, c = 7, d = 5, and h = 4. What is the area?

51% Answer Correctly
14
11
13\(\frac{1}{2}\)
16

Solution

The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:

a = ½(b + d)(h)
a = ½(2 + 5)(4)
a = ½(7)(4)
a = ½(28) = \( \frac{28}{2} \)
a = 14